A square park is surrounded by a path of uniform width 2 metres all round it. The area of the
path is 288 sq. metres. The perimeter of the park is

(1) 142 m

(2) 128 m

(3) 136 m

(4) 118 m

• option d is correct because
  (x+4)^2-x^2=288
  8x=288-16=272
  x=34
  perimeter=4x=4*34=136m
• 11 years agoHelpfull: Yes(25) No(3)
• 3) 136 m
  
  If x and y are length and width of park,
  Area of pathway = 4x + 4y + 16
  => 4x + 4y + 16 = 288
  => 4x + 4y = 272
  => 2x + 2y = 136m
• 12 years agoHelpfull: Yes(22) No(6)
• 4(X+X+4)= 288
  x= 34
  now S= 4X = 136
• 12 years agoHelpfull: Yes(4) No(0)
• its a square park,and all side of square are equal,how can we take side as x and y.can anyone explain plz
• 11 years agoHelpfull: Yes(4) No(0)
• let the side of a square is x
  area of square will be x*x
  now 2m is adding to both sides ,so area will become (x+4)(x+4)
  it gives x*x + 4x + 4x + 16
  now the area of path is x*x+8x+16=288
  which gives 4x=136
  perimter of square is 4*side
  so 136 is d answer
  
• 10 years agoHelpfull: Yes(2) No(0)
• 4x+4y=288
  2(x+y)=136
• 12 years agoHelpfull: Yes(1) No(4)